题目内容
某星球的质量约为地球质量的9倍,半径约为地球半径的一半,若从地球表面高h处平抛一物体,射程为60 m,则在该星球上,从同样高度以同样的初速度平抛同一物体,射程应为 ( )
A.10 m | B.15 m | C.90 m | D.360 m |
A
由平抛运动公式可知,射程x=v0t=v0
,
即v0、h相同的条件下x∝
,
又由g=
,可得
=
(
)2=
×(
)2=
,
所以
=
=
,
=10 m,选项A正确
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132817641587.png)
即v0、h相同的条件下x∝
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132817703396.png)
又由g=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132817765651.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132817797598.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132817843651.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132817906557.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132817937340.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132817968345.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132818046422.png)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132818077543.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132818140639.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132818187336.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824132818218395.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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